Resolutions of a-stable ideals

✍ Scribed by Vesselin Gasharov; Takayuki Hibi; Irena Peeva

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 167 KB
• Volume: 254
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(02)00083-2

✦ Synopsis

Let a = {a 1 a 2 • • • a n } be a sequence of integers or ∞. We introduce a-stable ideals in a polynomial ring and study their homological properties. Our results generalize results on square-free monomial ideals by Aramova, Avramov, Herzog, Hibi, and Srinivasan.